Greatest Common Factor of 36/378, 983/151, 695/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/378, 983/151, 695/870

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 36/378,983/151,695/870

Given fractions are 36/378,983/151,695/870

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 36,983,695

Greatest Common Factor of Numerators i.e. GCF of 36,983,695 is 1 .

LCM of Denominators means LCM of 378,151,870 as per the given fractions.

LCM of 378,151,870 is 8276310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,983,695

GCF of Fractions 36/378,983/151,695/870 is 1/8276310

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 36,983,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,983,695 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 36,983,695 . The biggest common factor number is the GCF number.
So the greatest common factor 36,983,695 is 1.

Lets's calculate LCM of 378,151,870

2 378, 151, 870
3 189, 151, 435
63, 151, 145

∴ So the LCM of the given numbers is 2 x 3 x 63 x 151 x 145 = 8276310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8276310

Therefore, the GCF of Fractions 36/378,983/151,695/870 is 1/8276310

Least Common Multiple of 378,151,870 with GCF Formula

Least Common Multiple of 378,151,870 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 378,151,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,151,870) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(378,151,870) x common factors =1 x 6 = 6

LCM(378,151,870) = ( 378 × 151 × 870 ) / 6

LCM(378,151,870) = 49657860 / 6

LCM(378,151,870) = 8276310


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 36/378, 983/151, 695/870

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 36/378, 983/151, 695/870?

Answer: GCF of Numerators as per given numbers 36/378, 983/151, 695/870 is

GCF of Numerators i.e. for 36,983,695 is 1

LCM of denominators i.e. for 378,151,870 is 8276310.

Thus, GCF of Fractions is 1/8276310.Finally, GCF of Fractions for 36/378, 983/151, 695/870 is 1/8276310.